Question

\(\sqrt{2\frac{7}{9}}.\sqrt{1\frac{24}{25}}.\sqrt{\frac{36}{25}}\)

Answer 1

\(=\frac{5}{3}\cdot\frac{7}{5}\cdot\frac{6}{5}==\frac{5\cdot7\cdot6}{3\cdot5\cdot5}=\frac{14}{5}\)

Answer 2

\(\sqrt{2\frac{7}{9}\cdot}\sqrt{1\frac{24}{25}}\cdot\sqrt{\frac{36}{25}}\)

\(\Leftrightarrow\sqrt{\frac{25}{9}}\cdot\sqrt{\frac{49}{25}}\cdot\sqrt{\frac{36}{25}}\)

\(\Leftrightarrow\frac{5}{3}\cdot\frac{7}{5}\cdot\frac{6}{5}\)\(=\frac{5\cdot7\cdot6}{3\cdot5\cdot5}=\frac{210}{75}=\frac{14}{5}\)